My Math Forum f'(x) = 4*sqrt(f(x))

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 July 3rd, 2017, 03:40 PM #1 Senior Member   Joined: Jul 2016 From: USA Posts: 108 Thanks: 13 f'(x) = 4*sqrt(f(x)) f'(x) = 4*sqrt(f(x)) [derivative with respect to x of f(x) = 4 * squareroot of f(x)] Does anyone know how to solve equations like this? The goal is to solve for f(x). I run into equations like this so often and always get stuck.
 July 3rd, 2017, 04:05 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,313 Thanks: 2447 Math Focus: Mainly analysis and algebra Separation of variables. $$y'=4\sqrt{y} \implies \int y^{-\frac12} \, \mathrm dy = 4\int \mathrm dx$$ Thanks from VisionaryLen Last edited by v8archie; July 3rd, 2017 at 04:07 PM.

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